Which statement is true about a triangular prism?
a. It has exactly 1 pair of parallel faces
b. It has not parallel edges
c.It has atleast 2 pairs of parallel faces
d.It has no parallel faces
http://www.mathsisfun.com/geometry/prisms.html
What do you think?
Please study that site again.
i don't understand
What part of this problem or website don't you understand?
i thought it was c because the others don't make sense to me
What difference do you see between a and c?
a has 1 pair and c has two
Right. Now count the parallel faces in the diagram in the website. How many PAIRS do you see?
Right. Each end face is parallel to the other end face.
To determine which statement is true about a triangular prism, we first need to understand the characteristics of a triangular prism.
A triangular prism is a three-dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting these bases. The triangular bases are parallel, and the rectangular faces are perpendicular to the bases.
Now let's evaluate each statement in order to find the correct answer:
a. It has exactly 1 pair of parallel faces: This statement is incorrect. A triangular prism has two parallel faces, which are the triangular bases.
b. It has no parallel edges: This statement is incorrect. A triangular prism has three pairs of parallel edges. Each rectangular face of the prism has two parallel edges, and the triangular bases share another pair of parallel edges.
c. It has at least 2 pairs of parallel faces: This statement is incorrect. As mentioned earlier, a triangular prism has two parallel faces, which are the triangular bases. Therefore, it has only one pair of parallel faces.
d. It has no parallel faces: This statement is incorrect. A triangular prism has two parallel faces, which are the triangular bases. Therefore, it does have parallel faces.
In conclusion, the correct statement about a triangular prism is:
a. It has exactly 1 pair of parallel faces.